Question

WILL REWARD!
Write the equation of the line that is parallel to the line y = -3x + 12 and passes through the point (-1, 6).

Answer 1

@johnweldon1993 please help"?

Answer 2

First, what do we know about slopes of parallel lines?

Answer 3

well parrallel lines never touch and go the same way

Answer 4

Right, in other words, they have the same slope

If the slope was ANY different, they would eventually touch correct?

Answer 5

yes

Answer 6

So in your equation up there

\[\large y = -3x + 12\]

What is the slope?

Answer 7

so the slope would be -3x?

Answer 8

Well the slope would be just -3
\(\large y = mx + b\) where 'm' is the slope

Answer 9

So there, we know the slope of the line that we need.

And we also have a point along that line (-1 , 6)

Since we have a point and a slope, we can use the point slope formula

\[\large y - y_0 = m(x - x_0)\]

Answer 10

so y-6=-3(x+1)

Answer 11

Replace \(\large y_0\) with your y-coordinate
And \(\large x_0\) with your x coordinate
and finally \(\large m\) with your slope

Answer 12

am i right?

Answer 13

Completely correct,

\[\large y - 6 = -3(x + 1)\]

Now just distribute out the right hand side, and then add 6 to both sides to isolate and solve for y

Answer 14

y=-3x+3

Answer 15

There you go!

Answer 16

but thats not one of the choices...

Answer 17

What are your choices?

Answer 18

Write the equation of the line that is parallel to the line 3x - y = -3 and passes through the point (4, -2).

y = -one thirdx - 6

y = -one thirdx - 14

y = 3x - 6

y = 3x - 14

Answer 19

-1/3x means -one thirdx

Answer 20

That is a completely different question...

Answer 21

omg im soooo sorry!
i had the on i typed earlier D:

Answer 22

can you help still again im sooo sorry!

Answer 23

lol no problem! But since you know the process now can you figure this one out?

Answer 24

woould the m=-3? thats one of the things tha confuses me

Answer 25

ik that y=-2 and x=4

Answer 26

Nope, positive 3

So we start off with \[\large 3x - y = -3\]

Add y to both sides, then add 3 to both sides

\[\large y = 3x + 3\]

you could have alternatively subtracted 3x from both sides, then divided everything by '-' to solve for y

Answer 27

thats something i didnt know thanks!.

Answer 28

so y+2=3(x-4)?

Answer 29

Yeah you always want to solve for 'y' it is the easiest way (in my own opinion that is)

So yes that is correct, and simplify it a bit more...

Answer 30

k so i distribute the 3 on the right side, add 2 on both sides...

Answer 31

y=3x-14

Answer 32

If you meant to say "subtract 2 from both sides" then yes

Answer 33

thank you soo much john!

Answer 34

Anytime!

Answer 35

i turned it in and got an 1 if it weren't for you i wouldve gotten a c you a life saver!

Answer 36

A*

Answer 37

Well I'm glad! If you need anymore help feel free to message me

Answer 38

ok thanks